  ## GMAT Math Prep Most Comprehensive Question Bank Set 5

##### The average price of an antique car increases over the years. If from 1990 to 1996, the price of the car increased by 13% and from 1996 to 2001 it increased by 20%, what is the price of the car in 2001 if the price in 1990 was \$11,500?

Options are :

• \$12,988
• \$14,543
• \$15,322
• \$14,786
• \$15,594 (Correct)

##### a, b and c are three odd and different integers. Which one is the median?(1) a, b and c are consecutive numbers. (2) c > a  and  b < c.

Options are :

• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Either statements BY ITSELF is sufficient to answer the question.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

Answer :Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

##### George can fill Q cans of paint in 3 minutes. If there are R cans of paint in one gallon, how many gallons can George fill in 45 minutes?

Options are :

• 15R/Q
• 15Q/R (Correct)
• 30R/Q
• 5Q/R
• 30Q/R

##### In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?

Options are :

• 666
• 618
• 515
• 545
• 644 (Correct)

##### What is the ratio between W and Q?(1) Q + W = 23.(2) W is 25% of Q.

Options are :

• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Either statements BY ITSELF is sufficient to answer the question.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

Answer :Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

Options are :

• 4/5
• -5/8
• 4/5
• 2.5
• 5<8x<12

##### Did the owner of the garage sale made more than \$130 last Saturday?(1) There were 15 products at the garage sale, each one cost \$25.(2) All the products were sold.

Options are :

• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Either statement BY ITSELF is sufficient to answer the question.
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

##### The value of a “Tin-Rin” stock in the stock market decreased by 15% in the last two years. The experts believe that the value of the stock will increase by 7% during the following year, which will make the value \$440. What was the approximate price of the stock two years ago?

Options are :

• \$464
• \$430
• \$473 (Correct)
• \$445
• \$455

##### If a, b, c, d and e are distinct integers, which one is the median?    (1) a < b – c.(2) d > e.

Options are :

• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Either statements BY ITSELF is sufficient to answer the question.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

##### What is the total amount of Jellybeans that Benjamin ate last week?(1) This week Benjamin ate 20% more Jellybeans than two weeks ago.(2) Two weeks ago Benjamin ate 65 Jellybeans.

Options are :

• Either statement BY ITSELF is sufficient to answer the question.
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data. (Correct)
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

Options are :

• 68
• 96 (Correct)
• 62
• 88
• 74

##### Two brothers took the GMAT exam, the higher score is X and the lower one is Y. If the difference between the two scores is equal to their average, what is the value of Y/X ?

Options are :

• 1/3 (Correct)
• 1/2
• 3
• There isn’t enough data to answer the question
• 2

Options are :

• 54 (Correct)
• 49
• 68
• 50
• 81

##### How many hamburgers did “Wacdonalds” sell last year?(1) Two years ago “Wacdonalds” sold 422,000,000 hamburgers.(2) The average amount of hamburgers sold by “Wacdonalds” each year is 5 million.

Options are :

• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Either statement BY ITSELF is sufficient to answer the question.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

Options are :

• 25
• 20
• 15
• 5
• 10 (Correct)

##### “Queens” is a game of cards that distinguishes the cards into three groups: reds, blacks and jokers. Four packets of cards are shuffled and only 50 cards are drawn out. How many red cards are in the stack of the 50 cards?(1) The number of black cards is twice the number of red cards.(2) There is at least one joker in the stack of cards.

Options are :

• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data (Correct)
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Either statements BY ITSELF is sufficient to answer the question.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data

##### At the end of the year 2002, Monica and Chandler each purchased a certificate of deposit that paid the same rate of interest, and each held the certificate of deposit through the end of 2002. If Chandler invested X dollars and Monica invested \$130,000, and if Chandler earned interest in 2002 totaling \$45,000, what was the amount of interest that Monica earned on her \$130,000 investment?(1) The rate of interest on the certificate of deposit that Chandler and Monica each purchased was 8.5% annually.(2) In 2002, Chandler invested \$529,412 in the certificate of deposit.

Options are :

• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Either statements BY ITSELF is sufficient to answer the question. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

##### Kramer can pack X boxes of cigarettes per minute. If there are Y boxes of cigarettes in one case, How many cases can Kramer pack in 2 hours?

Options are :

• 120Y/X
• 120X/Y (Correct)
• 60X/Y
• 60Y/X
• (X+Y)/60

Options are :

• 44
• 42 (Correct)
• 38
• 40
• 46

##### From the year 1973 to 1983 an apartment's value decreased by 16% and from 1983 to 1993 it’s value increased by 16%. What is the value of the apartment in 1993 if in 1973 it was worth \$40,000?

Options are :

• \$38,976 (Correct)
• \$38,796
• \$39,679
• \$40,000
• \$36,796

Options are :

• 36
• 24 (Correct)
• 48
• 28
• 42

##### The junior soccer team is one of the best teams in the state of Alabama. The season is divided into two parts of 4 months each. In the first part of the season, the junior soccer team won half of their 32 games. How many games did the team win in the entire season?(1) In the second part of the season, the team lost 9 games, tied 5 games and won 18 games.(2) In the second part of the season, the team won twice as much as they lost.

Options are :

• Either statements BY ITSELF is sufficient to answer the question.
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. (Correct)

Answer :Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

Options are :

• x<4
• x>4
• -4
• 4
• x>-4

Options are :

• 73 (Correct)
• 69
• 76
• 71
• 75

##### At the faculty of Aerospace Engineering, 312 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?

Options are :

• 430
• 424
• 432 (Correct)
• 428
• 436

Options are :

• 22 (Correct)
• 24
• 20
• 21
• 23

##### Mickey took a loan of X dollars at the beginning of 1996. Travis, Mickey’s little brother also took a loan,  twice as large as Mickey’s but with the same interest. If Travis pays \$10,000 interest on his loan each year, how much loan did Mickey take?(1) The rate of interest on the loan that Travis took is 6% annually.(2) The loan that Travis took was \$166,667.

Options are :

• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Either statements BY ITSELF is sufficient to answer the question. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

##### Ron has three kinds of shirts in his closet, white shirts, black shirts and red shirts.What is the ratio between the shirts in the closet?(1) The total number of shirts is 100.(2) 30% of the shirts are black, which is twice as much as the no of red shirts.

Options are :

• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
• Either statements BY ITSELF is sufficient to answer the question.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

##### A confectioner decides to sell all of his pastry due to the coming holiday. His pastry goods are equally divided among a group of 28 regular customers. If only 49 customers come to the bakery, each one will receive 6 less pastry goods. How much pastry does the confectioner needs to sell?

Options are :

• 432
• 392 (Correct)
• 412
• 522
• 502

##### A certain car’s price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased her price by \$1,500. If the price of the car in 1996 was \$22,000, what is the car’s price in 2002?

Options are :

• \$19,500
• \$21,100
• \$20,400
• \$20,200 (Correct)
• \$18,400